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math-ph2022★ 3 cited
Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field
M. G. Naber
The two-dimensional hydrogen-like atom in a constant magnetic field is considered. It is found that this is actually two separate problems. One for which the magnetic field causes…
math-ph2022★ 1 cited
The Zeta Function for the Triangular Potential
M. G. Naber
The zeta functions for the Schrödinger equation with a triangular potential are investigated. Values of the zeta functions are computed using both the Weierstrass factorization the…
math-ph2022
The Bessel zeta function
M. G. Naber, B. M. Bruck, S. E. Costello
Two representations of the Bessel zeta function are investigated. An incomplete representation is constructed using contour integration and an integral representation due to Hawkin…